An introduction to probability and statistics / / V. K. Rohatgi, A. K. Md. Ehsanes Saleh |
Autore | Rohatgi V. K. <1939-> |
Edizione | [Third edition.] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
Descrizione fisica | 1 online resource (xviii, 689 pages) : illustrations |
Disciplina | 519.5 |
Collana | Wiley Series in Probability and Statistics |
Soggetto topico |
Probabilities
Mathematical statistics |
ISBN |
1-118-79965-8
1-118-79963-1 1-118-79968-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910131634003321 |
Rohatgi V. K. <1939->
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Hoboken, New Jersey : , : Wiley, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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An introduction to probability and statistics [[electronic resource]] |
Autore | Rohatgi V. K. <1939-> |
Edizione | [2nd ed. /] |
Pubbl/distr/stampa | New York, : Wiley, c2001 |
Descrizione fisica | 1 online resource (747 p.) |
Disciplina | 519.2 |
Altri autori (Persone) |
SalehA. K. Md. Ehsanes
RohatgiV. K. <1939-> |
Collana | Wiley series in probability and statistics. Texts and references section |
Soggetto topico |
Probabilities
Mathematical statistics |
ISBN |
1-283-28002-7
9786613280022 1-118-16567-5 1-118-16568-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
An Introduction to Probability and Statistics; Contents; Preface to the Second Edition; Preface to the First Edition; 1. Probability; 1.1 Introduction; 1.2 Sample Space; 1.3 Probability Axioms; 1.4 Combinatorics: Probability on Finite Sample Spaces; 1.5 Conditional Probability and Bayes Theorem; 1.6 Independence of Events; 2. Random Variables and Their Probability Distributions; 2.1 Introduction; 2.2 Random Variables; 2.3 Probability Distribution of a Random Variable; 2.4 Discrete and Continuous Random Variables; 2.5 Functions of a Random Variable; 3. Moments and Generating Functions
3.1 Introduction3.2 Moments of a Distribution Function; 3.3 Generating Functions; 3.4 Some Moment Inequalities; 4. Multiple Random Variables; 4.1 Introduction; 4.2 Multiple Random Variables; 4.3 Independent Random Variables; 4.4 Functions of Several Random Variables; 4.5 Covariance, Correlation, and Moments; 4.6 Conditional Expectation; 4.7 Order Statistics and Their Distributions; 5. Some Special Distributions; 5.1 Introduction; 5.2 Some Discrete Distributions; 5.3 Some Continuous Distributions; 5.4 Bivariate and Multivariate Normal Distributions; 5.5 Exponential Family of Distributions 6. Limit Theorems6.1 Introduction; 6.2 Modes of Convergence; 6.3 Weak Law of Large Numbers; 6.4 Strong Law of Large Numbers; 6.5 Limiting Moment Generating Functions; 6.6 Central Limit Theorem; 7. Sample Moments and Their Distributions; 7.1 Introduction; 7.2 Random Sampling; 7.3 Sample Characteristics and Their Distributions; 7.4 Chi-Square, t-, and F-Distributions: Exact Sampling Distributions; 7.5 Large-Sample Theory; 7.6 Distribution of (X, S2) in Sampling from a Normal Population; 7.7 Sampling from a Bivariate Normal Distribution,; 8. Parametric Point Estimation; 8.1 Introduction 8.2 Problem of Point Estimation8.3 Sufficiency, Completeness, and Ancillarity; 8.4 Unbiased Estimation; 8.5 Unbiased Estimation (Continued): Lower Bound for the Variance of an Estimator; 8.6 Substitution Principle (Method of Moments); 8.7 Maximum Likelihood Estimators; 8.8 Bayes and Minimax Estimation; 8.9 Principle of Equivariance; 9. Neyman-Pearson Theory of Testing of Hypotheses; 9.1 Introduction; 9.2 Some Fundamental Notions of Hypotheses Testing; 9.3 Neyman-Pearson Lemma; 9.4 Families with Monotone Likelihood Ratio; 9.5 Unbiased and Invariant Tests; 9.6 Locally Most Powerful Tests 10. Some Further Results of Hypothesis Testing10.1 Introduction; 10.2 Generalized Likelihood Ratio Tests; 10.3 Chi-Square Tests; 10.4 t-Tests; 10.5 F-Tests; 10.6 Bayes and Minimax Procedures; 11. Confidence Estimation; 11.1 Introduction; 11.2 Some Fundamental Notions of Confidence Estimation; 11.3 Methods of Finding Confidence Intervals; 11.4 Shortest-Length Confidence Intervals; 11.5 Unbiased and Equivariant Confidence Intervals; 12. General Linear Hypothesis; 12.1 Introduction; 12.2 General Linear Hypothesis; 12.3 Regression Model; 12.4 One-Way Analysis of Variance 12.5 Two-Way Analysis of Variance with One Observation per Cell |
Record Nr. | UNINA-9910781705803321 |
Rohatgi V. K. <1939->
![]() |
||
New York, : Wiley, c2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
An introduction to probability and statistics [[electronic resource]] |
Autore | Rohatgi V. K. <1939-> |
Edizione | [2nd ed. /] |
Pubbl/distr/stampa | New York, : Wiley, c2001 |
Descrizione fisica | 1 online resource (747 p.) |
Disciplina | 519.2 |
Altri autori (Persone) |
SalehA. K. Md. Ehsanes
RohatgiV. K. <1939-> |
Collana | Wiley series in probability and statistics. Texts and references section |
Soggetto topico |
Probabilities
Mathematical statistics |
ISBN |
1-283-28002-7
9786613280022 1-118-16567-5 1-118-16568-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
An Introduction to Probability and Statistics; Contents; Preface to the Second Edition; Preface to the First Edition; 1. Probability; 1.1 Introduction; 1.2 Sample Space; 1.3 Probability Axioms; 1.4 Combinatorics: Probability on Finite Sample Spaces; 1.5 Conditional Probability and Bayes Theorem; 1.6 Independence of Events; 2. Random Variables and Their Probability Distributions; 2.1 Introduction; 2.2 Random Variables; 2.3 Probability Distribution of a Random Variable; 2.4 Discrete and Continuous Random Variables; 2.5 Functions of a Random Variable; 3. Moments and Generating Functions
3.1 Introduction3.2 Moments of a Distribution Function; 3.3 Generating Functions; 3.4 Some Moment Inequalities; 4. Multiple Random Variables; 4.1 Introduction; 4.2 Multiple Random Variables; 4.3 Independent Random Variables; 4.4 Functions of Several Random Variables; 4.5 Covariance, Correlation, and Moments; 4.6 Conditional Expectation; 4.7 Order Statistics and Their Distributions; 5. Some Special Distributions; 5.1 Introduction; 5.2 Some Discrete Distributions; 5.3 Some Continuous Distributions; 5.4 Bivariate and Multivariate Normal Distributions; 5.5 Exponential Family of Distributions 6. Limit Theorems6.1 Introduction; 6.2 Modes of Convergence; 6.3 Weak Law of Large Numbers; 6.4 Strong Law of Large Numbers; 6.5 Limiting Moment Generating Functions; 6.6 Central Limit Theorem; 7. Sample Moments and Their Distributions; 7.1 Introduction; 7.2 Random Sampling; 7.3 Sample Characteristics and Their Distributions; 7.4 Chi-Square, t-, and F-Distributions: Exact Sampling Distributions; 7.5 Large-Sample Theory; 7.6 Distribution of (X, S2) in Sampling from a Normal Population; 7.7 Sampling from a Bivariate Normal Distribution,; 8. Parametric Point Estimation; 8.1 Introduction 8.2 Problem of Point Estimation8.3 Sufficiency, Completeness, and Ancillarity; 8.4 Unbiased Estimation; 8.5 Unbiased Estimation (Continued): Lower Bound for the Variance of an Estimator; 8.6 Substitution Principle (Method of Moments); 8.7 Maximum Likelihood Estimators; 8.8 Bayes and Minimax Estimation; 8.9 Principle of Equivariance; 9. Neyman-Pearson Theory of Testing of Hypotheses; 9.1 Introduction; 9.2 Some Fundamental Notions of Hypotheses Testing; 9.3 Neyman-Pearson Lemma; 9.4 Families with Monotone Likelihood Ratio; 9.5 Unbiased and Invariant Tests; 9.6 Locally Most Powerful Tests 10. Some Further Results of Hypothesis Testing10.1 Introduction; 10.2 Generalized Likelihood Ratio Tests; 10.3 Chi-Square Tests; 10.4 t-Tests; 10.5 F-Tests; 10.6 Bayes and Minimax Procedures; 11. Confidence Estimation; 11.1 Introduction; 11.2 Some Fundamental Notions of Confidence Estimation; 11.3 Methods of Finding Confidence Intervals; 11.4 Shortest-Length Confidence Intervals; 11.5 Unbiased and Equivariant Confidence Intervals; 12. General Linear Hypothesis; 12.1 Introduction; 12.2 General Linear Hypothesis; 12.3 Regression Model; 12.4 One-Way Analysis of Variance 12.5 Two-Way Analysis of Variance with One Observation per Cell |
Record Nr. | UNINA-9910818428503321 |
Rohatgi V. K. <1939->
![]() |
||
New York, : Wiley, c2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|